Sigh....This is a very hard question for me. I honestly haven't gotten that much accomplished this year. At least I feel that way when I see what my knitting friends and people on Ravelry get finished. The things that I actually got finished were either for gifts or things for swaps.
I guess I have two things that I learned how to do this year though I haven't technically finished either projects. The first one is my Monkey sock.
According to my Ravelry project page, I started this sock in February of 2010. Before doing this sock I had never turned a heal before, so I guess I actually DID accomplish something this past year :)
Next would be Cole's tractor sweater. Before doing this sweater I had never done any sort of color work. Yeah I'd done strips but nothing like this...even though I haven't gotten really far at all on the intarsia part. Its still more than I had done before this past year.